Theorems · Definition · category theory
CategoryTheory.MonoidalOpposite.unmopEquiv
(C : Type u₁) → [inst : CategoryTheory.Category.{v₁, u₁} C] → Cᴹᵒᵖ ≌ CThe (identity) equivalence between Cᴹᵒᵖ and C.
- Defined in
- Mathlib.CategoryTheory.Monoidal.Opposite
- Cited by
- 14 results in Mathlib
- Foundations
- Depth 27 from the axioms · uses propext, Classical.choice, Quot.sound
- Assumes
- CategoryTheory.Category
Around this declaration
Dashed lines are statement dependencies; solid lines are citations in proofs.
Cites5
Mathlib declarations this one mentions in its statement or cites explicitly in its proof. Plumbing is filtered out.
- CategoryTheory.Categorystatement and proof · cited by 32,673
- CategoryTheory.Equivalencestatement · cited by 601
- CategoryTheory.Equivalence.symmproof · cited by 195
- CategoryTheory.MonoidalOppositestatement · cited by 179
- CategoryTheory.MonoidalOpposite.mopEquivproof · cited by 10
Cited by15
Results whose statement or proof uses this declaration.
- CategoryTheory.MonoidalOpposite.mopMopEquivalenceproof · cited by 16
- CategoryTheory.MonoidalOpposite.mopMopEquivalence_counitIso_hom_appstatement · cited by 0
- CategoryTheory.MonoidalOpposite.mopMopEquivalence_counitIso_inv_appstatement · cited by 0
- CategoryTheory.MonoidalOpposite.mopMopEquivalence_functor_mapstatement · cited by 0
- CategoryTheory.MonoidalOpposite.mopMopEquivalence_inverse_map_unmop_unmopstatement · cited by 0
- CategoryTheory.MonoidalOpposite.mopMopEquivalence_unitIso_hom_app_unmop_unmopstatement and proof · cited by 0
- CategoryTheory.MonoidalOpposite.mopMopEquivalence_unitIso_inv_app_unmop_unmopstatement and proof · cited by 0
- CategoryTheory.MonoidalOpposite.unmopEquiv_counitIso_hom_appstatement and proof · cited by 0
- CategoryTheory.MonoidalOpposite.unmopEquiv_counitIso_inv_appstatement and proof · cited by 0
- CategoryTheory.MonoidalOpposite.unmopEquiv_functor_mapstatement and proof · cited by 0
- CategoryTheory.MonoidalOpposite.unmopEquiv_functor_objstatement and proof · cited by 0
- CategoryTheory.MonoidalOpposite.unmopEquiv_inverse_map_unmopstatement and proof · cited by 0